Positive and Negative Numbers

Definition Positive number – a number greater than zero. 1 2 3 4 5 6

Definition Negative number – a number less than zero. -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

Definition Opposite Numbers – numbers that are the same distance from zero in the opposite direction -6 -5 -4 -3 -2 -1 1 2 3 4 5 6

Definition Integers – Integers are all the whole numbers and all of their opposites on the negative number line including zero. 7 opposite -7

Negative Numbers Are Used to Measure Under Sea Level 30 20 10 -10 -20 -30 -40 -50

Negative Numbers Are Used to Show Debt Let’s say your parents bought a car but had to get a loan from the bank for $5,000. When counting all their money they add in -$5.000 to show they still owe the bank.

Hint If you don’t see a negative or positive sign in front of a number it is positive. 9 +

One Way to Add Integers Is With a Number Line When the number is positive count to the right. When the number is negative count to the left. - + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6

One Way to Add Integers Is With a Number Line +3 + -5 = -2 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

One Way to Add Integers Is With a Number Line +6 + -4 = +2 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

One Way to Add Integers Is With a Number Line -3 + +7 = +4 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

One Way to Add Integers Is With a Number Line -2 + +8 = +6 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

One Way to Add Integers Is With a Number Line -5 + +2 = -3 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

One Way to Add Integers Is With a Number Line -4 + -2 = -6 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

One Way to Add Integers Is With a Number Line -1 + -4 = -5 - 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 -

One Way to Add Integers Is With a Number Line 4 + 1 = 5 + 1 2 3 4 5 6 -1 -2 -3 -4 -5 -6 +

Here’s a way I can Remember! To remember whether your answer will be positive or negative when MULTIPLYING or DIVIDING, we’ll use:

= -15 What sign is left uncovered? When multiplying Integers, cover the Two signs you are using What sign is left uncovered? Ex.: 5 (-3) Negative, - That is the sign of The answer = -15

Division It’s not any different! Good News: Ex.: -48  (-4) = + 12

Grade your boss’ work… Answer: 14 (4)(-7)  (-2) First, (4)(-7) = - 28 Finish it! (-28)(-2) Answer: 14

= 4 (-56  7)  - 2 5  -7  -6 = 210 = - 135